{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Autoregressive Moving Average (ARMA): Sunspots data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook replicates the existing ARMA notebook using the `statsmodels.tsa.statespace.SARIMAX` class rather than the `statsmodels.tsa.ARMA` class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import statsmodels.api as sm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from statsmodels.graphics.api import qqplot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sunspots Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "::\n",
      "\n",
      "    Number of Observations - 309 (Annual 1700 - 2008)\n",
      "    Number of Variables - 1\n",
      "    Variable name definitions::\n",
      "\n",
      "        SUNACTIVITY - Number of sunspots for each year\n",
      "\n",
      "    The data file contains a 'YEAR' variable that is not returned by load.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(sm.datasets.sunspots.NOTE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dta = sm.datasets.sunspots.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dta.index = pd.Index(sm.tsa.datetools.dates_from_range('1700', '2008'))\n",
    "del dta[\"YEAR\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dta.plot(figsize=(12,4));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(dta.values.squeeze(), lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(dta, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  % freq, ValueWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "intercept     14.793947\n",
      "ar.L1          1.390659\n",
      "ar.L2         -0.688568\n",
      "sigma2       274.761104\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "arma_mod20 = sm.tsa.statespace.SARIMAX(dta, order=(2,0,0), trend='c').fit(disp=False)\n",
    "print(arma_mod20.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  % freq, ValueWarning)\n"
     ]
    }
   ],
   "source": [
    "arma_mod30 = sm.tsa.statespace.SARIMAX(dta, order=(3,0,0), trend='c').fit(disp=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2622.636338141577 2637.569703249168 2628.606725986823\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "intercept     16.762205\n",
      "ar.L1          1.300810\n",
      "ar.L2         -0.508122\n",
      "ar.L3         -0.129612\n",
      "sigma2       270.102651\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod30.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2619.403629663503 2638.070336047992 2626.8666144700605\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod30.aic, arma_mod30.bic, arma_mod30.hqic)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Does our model obey the theory?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.9564844849476821"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.stats.durbin_watson(arma_mod30.resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,4))\n",
    "ax = fig.add_subplot(111)\n",
    "ax = plt.plot(arma_mod30.resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "resid = arma_mod30.resid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NormaltestResult(statistic=49.84700637397093, pvalue=1.4992018042088536e-11)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.normaltest(resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\scipy\\stats\\stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,4))\n",
    "ax = fig.add_subplot(111)\n",
    "fig = qqplot(resid, line='q', ax=ax, fit=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(resid, lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(resid, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC          Q      Prob(>Q)\n",
      "lag                                    \n",
      "1.0   0.009176   0.026273  8.712350e-01\n",
      "2.0   0.041820   0.573727  7.506142e-01\n",
      "3.0  -0.001342   0.574292  9.022915e-01\n",
      "4.0   0.136064   6.407488  1.707135e-01\n",
      "5.0   0.092433   9.108334  1.048203e-01\n",
      "6.0   0.091919  11.788018  6.686843e-02\n",
      "7.0   0.068735  13.291374  6.531942e-02\n",
      "8.0  -0.015021  13.363411  9.994250e-02\n",
      "9.0   0.187599  24.636915  3.400198e-03\n",
      "10.0  0.213724  39.317880  2.233182e-05\n",
      "11.0  0.201092  52.358270  2.347760e-07\n",
      "12.0  0.117192  56.802109  8.581668e-08\n",
      "13.0 -0.014051  56.866210  1.895534e-07\n",
      "14.0  0.015394  56.943403  4.001106e-07\n",
      "15.0 -0.024986  57.147464  7.747085e-07\n",
      "16.0  0.080892  59.293626  6.880521e-07\n",
      "17.0  0.041120  59.850085  1.112486e-06\n",
      "18.0 -0.052030  60.744063  1.550380e-06\n",
      "19.0  0.062500  62.038494  1.833802e-06\n",
      "20.0 -0.010292  62.073718  3.385224e-06\n",
      "21.0  0.074467  63.924062  3.196544e-06\n",
      "22.0  0.124962  69.152770  8.984835e-07\n",
      "23.0  0.093170  72.069532  5.802916e-07\n",
      "24.0 -0.082149  74.345041  4.715787e-07\n",
      "25.0  0.015689  74.428331  8.294020e-07\n",
      "26.0 -0.025049  74.641399  1.367992e-06\n",
      "27.0 -0.125875  80.040873  3.722922e-07\n",
      "28.0  0.053215  81.009318  4.717357e-07\n",
      "29.0 -0.038699  81.523324  6.917768e-07\n",
      "30.0 -0.016896  81.621648  1.151883e-06\n",
      "31.0 -0.019286  81.750227  1.869202e-06\n",
      "32.0  0.105001  85.575148  8.927710e-07\n",
      "33.0  0.040094  86.134872  1.247384e-06\n",
      "34.0  0.008834  86.162142  2.047606e-06\n",
      "35.0  0.014588  86.236784  3.263460e-06\n",
      "36.0 -0.119334  91.249666  1.084187e-06\n",
      "37.0 -0.036673  91.724837  1.521456e-06\n",
      "38.0 -0.046204  92.481861  1.937920e-06\n",
      "39.0 -0.017775  92.594310  2.989370e-06\n",
      "40.0 -0.006219  92.608126  4.694971e-06\n"
     ]
    }
   ],
   "source": [
    "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), r[1:], q, p]\n",
    "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n",
    "print(table.set_index('lag'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* This indicates a lack of fit."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* In-sample dynamic prediction. How good does our model do?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "predict_sunspots = arma_mod30.predict(start='1990', end='2012', dynamic=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "dta.loc['1950':].plot(ax=ax)\n",
    "predict_sunspots.plot(ax=ax, style='r');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def mean_forecast_err(y, yhat):\n",
    "    return y.sub(yhat).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.635549907081717"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_forecast_err(dta.SUNACTIVITY, predict_sunspots)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
